20672814065760 has 1152 divisors, whose sum is σ = 76297350729600. Its totient is φ = 5086683463680.

The previous prime is 20672814065749. The next prime is 20672814065809. The reversal of 20672814065760 is 6756041827602.

It is a happy number.

20672814065760 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 28 + 1 + 40 + 6 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20672814065697 and 20672814065706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22062768012 + ... + 22062768948.

It is an arithmetic number, because the mean of its divisors is an integer number (66230339175).

Almost surely, 2^{20672814065760} is an apocalyptic number.

20672814065760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20672814065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38148675364800).

20672814065760 is an abundant number, since it is smaller than the sum of its proper divisors (55624536663840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20672814065760 is a wasteful number, since it uses less digits than its factorization.

20672814065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 20672814065760 in words is "twenty trillion, six hundred seventy-two billion, eight hundred fourteen million, sixty-five thousand, seven hundred sixty".